A is singing a note and at the same time B is singing a note with… - Vidyadip

MCQ

$A$ is singing a note and at the same time $B$ is singing a note with exactly one $-$ eighth the frequency of the note of $A$. The energies of two sounds are equal, the amplitude of the note of $B$ is

A
Same that of $A$
B
Twice as that of $A$
C
Four times as that of $A$
✓
Eight times as that of $A$

✓

Answer

Correct option: D.

Eight times as that of $A$

$\frac{t_1}{t_2}$ Energy $ \propto a^2 n^2 $
$\Rightarrow \frac{a_B}{a_A}=\frac{n_A}{n_B} \quad(\because $ energy is same$)$
$ \Rightarrow\frac{a_B}{a_A}=\frac{8}{1}$

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